Adrián Ruiz

most citedTwo-body Coulomb problem and

g^{(2)}

algebra (once again about the Hydrogen atom)

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

nlin.CD2025

Classical-quantum study of confinement in the chaotic $x^{2} y^{2}$ Yang-Mills Hamiltonian

Mario A. Quiroz-Juarez, Marco A. Zurita, Horacio Olivares-Pilon +1

We analyze how quantum mechanics reinstates confinement in Hamiltonian systems that are classically unstable and exhibit chaotic dynamics. Specifically, we consider two paradigmati…

math-ph2025

Solvable Structures for Hamiltonian Systems

Sasa Kresic-Juric, Concepcion Muriel, Adrian Ruiz

In this paper, we investigate solvable structures associated to Hamiltonian equations. For a completely integrable Hamiltonian system with $n$ degrees of freedom, we construct a ca…

quant-ph2023★ 1 cited

Two-body Coulomb problem and $g^{(2)}$ algebra (once again about the Hydrogen atom)

Alexander V Turbiner, Adrian M Escobar Ruiz

Taking the Hydrogen atom as an example it is shown that if the symmetry of a three-dimensional system is $O (2) \oplus Z_{2}$ , the variables $(r, ρ, φ)$ allow a separation of the vari…

Classical-quantum study of confinement in the chaotic x2y2 Yang-Mills Hamiltonian

Solvable Structures for Hamiltonian Systems

Two-body Coulomb problem and g(2) algebra (once again about the Hydrogen atom)

Classical-quantum study of confinement in the chaotic $x^{2} y^{2}$ Yang-Mills Hamiltonian

Two-body Coulomb problem and $g^{(2)}$ algebra (once again about the Hydrogen atom)